Equation + area - practice problems - page 14 of 16
Number of problems found: 312
- Sprinter
Sprinter runs the relay 4 x 400 m to the handover at a speed of 42 km/h. A second runner is at the start of the handover area 20 m long and runs when it is the first sprinter at a distance of 10 m. Calculate the speed at which the second runner must run t - Cinema 4
In the cinema are 1656 seats and in the last row are 105 seats, in each next row 3 seats less. How many are the total rows in the cinema? - Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 - Mr. Happy
Mr. Happy planted 36.6 meters of square garden grass; It's a third of the garden, more than half of the garden. What is the square area of this garden?
- Trapezoid
Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio of 6:4:3. How long are a,c and h? Make calculation. - Property
The length of the rectangle-shaped property is 8 meters, less than three times the width. If we increase the width by 5% of a length and length reduce by 14% of the width, it will increase the property perimeter by 13 meters. How much will the property co - Garden
The garden has a rectangular shape, a circumference of 130 m, and an area of 800.25 m². Calculate the dimensions of the garden. - Square grid
A square grid consists of a square with sides of a length of 1 cm. Draw at least three patterns, each with an area of 6 cm² and a circumference of 12 cm, and their sides in a square grid. - Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters.
- Family parcels
The father will divide the land so that the older son has three bigger parts than the younger son. Later elder son gave a 2.5 ha field to the younger, and they had both the same. Determine the area of the family parcel. - The hall
The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall? - Grandmother and grandfather
Grandmother baked cakes. Grandfather ate half, then a quarter of the rest ate Peter, and Paul ate half of the rest. There left six cakes for parents. How many cakes were made by the grandmother? - Circular flowerbed
We split the circular flowerbed with diameter 8 m by concentric circle to circle and annulus with the same area. Find the radius of the circle. - Orchard
The route passes the trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3. The length of the longer base to the size of the path is in the ratio of 5:6. How many square meters occupy the
- Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75% length of the second leg, and its area is 24 cm². - Clock hands
The hands-on clock shows the time of 12 hours and 2 minutes. Calculate the size of an acute angle between clock hands three hours later. - Percentage 1544
Almost 60% of the country's area is permanent crops. 30% of permanent crops are orchards. What percentage of the area of the state is occupied by fruit orchards? - Goat
Meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the Meadow's perimeter to allow the goat to eat half of the Meadow? - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17.
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